Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 134, 132, 54 i.e. 2 largest integer that divides all the numbers equally.
GCD of 134, 132, 54 is 2
GCD(134, 132, 54) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 134, 132, 54 is 2
GCD(134, 132, 54) = 2
Given Input numbers are 134, 132, 54
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
Greatest Common Divisior
We found the divisors of 134, 132, 54 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 132, 54 is 2.
Therefore, GCD of numbers 134, 132, 54 is 2
Given Input Data is 134, 132, 54
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 134 is 2 x 67
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 54 is 2 x 3 x 3 x 3
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(134, 132) = 8844
GCD(134, 132) = ( 134 x 132 ) / 8844
GCD(134, 132) = 17688 / 8844
GCD(134, 132) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 54) = 54
GCD(2, 54) = ( 2 x 54 ) / 54
GCD(2, 54) = 108 / 54
GCD(2, 54) = 2
GCD of 134, 132, 54 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 134, 132, 54?
GCD of 134, 132, 54 is 2
2. Where do I get the detailed procedure to find GCD of 134, 132, 54?
You can find a detailed procedure to find GCD of 134, 132, 54 on our page.
3. How to find GCD of 134, 132, 54 on a calculator?
You can find the GCD of 134, 132, 54 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.